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Finding the Fourth Proportional to 242,002.80, 362,712.60 and 123,613.20

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Solution

The fourth proportional to 242,002.80, 362,712.60 and 123,613.20 is: 185,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,002.80 : 362,712.60 = 123,613.20 : x
  2. Step 2: Convert to fraction form
    242,002.80/362,712.60 = 123,613.20/x
  3. Step 3: Cross multiply
    242,002.80x = 362,712.60 × 123,613.20
  4. Step 4: Simplify right side
    242,002.80x = 44,836,065,166.32
  5. Step 5: Solve for x
    x = 44,836,065,166.32/242,002.80
  6. Step 6: Final answer
    x = 185,270.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.